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Finding the Fourth Proportional to 542,994,377.40, 814,491,566.10 and 197,959,260.60

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Solution

The fourth proportional to 542,994,377.40, 814,491,566.10 and 197,959,260.60 is: 296,938,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,994,377.40 : 814,491,566.10 = 197,959,260.60 : x
  2. Step 2: Convert to fraction form
    542,994,377.40/814,491,566.10 = 197,959,260.60/x
  3. Step 3: Cross multiply
    542,994,377.40x = 814,491,566.10 × 197,959,260.60
  4. Step 4: Simplify right side
    542,994,377.40x = 161,236,148,190,092,032
  5. Step 5: Solve for x
    x = 161,236,148,190,092,032/542,994,377.40
  6. Step 6: Final answer
    x = 296,938,890.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.